3817260480 has 224 divisors, whose sum is σ = 13289084928. Its totient is φ = 920678400.

The previous prime is 3817260451. The next prime is 3817260539. The reversal of 3817260480 is 840627183.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354070 + ... + 2355690.

It is an arithmetic number, because the mean of its divisors is an integer number (59326272).

Almost surely, 2^3817260480 is an apocalyptic number.

3817260480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3817260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644542464).

3817260480 is an abundant number, since it is smaller than the sum of its proper divisors (9471824448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3817260480 is a wasteful number, since it uses less digits than its factorization.

3817260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3817260480 is about 61783.9823902603. The cubic root of 3817260480 is about 1562.8498858480.

The spelling of 3817260480 in words is "three billion, eight hundred seventeen million, two hundred sixty thousand, four hundred eighty".